LEADER 03025nam 2200469 450 001 996466837303316 005 20221003132412.0 010 $a9783030941062$b(electronic bk.) 010 $z9783030941055 035 $a(MiAaPQ)EBC6893378 035 $a(Au-PeEL)EBL6893378 035 $a(CKB)21281948200041 035 $a(PPN)260832391 035 $a(EXLCZ)9921281948200041 100 $a20221003d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSpatial networks $ea complete introduction : from graph theory and statistical physics to real-world applications /$fMarc Barthelemy 210 1$aCham, Switzerland :$cSpringer,$d[2022] 210 4$dİ2022 215 $a1 online resource (443 pages) $cillustrations (some color) 311 08$aPrint version: Barthelemy, Marc Spatial Networks Cham : Springer International Publishing AG,c2022 9783030941055 320 $aIncludes bibliographical references and index. 327 $aFrom Complex to Spatial Networks Planar Graphs Directed and Mixed Graphs Simple Measures Betweenness Centrality The Shape of Shortest Paths Simplicity and Entropy Large-Scale Tools Typology of Planar Graphs Measuring the Time Evolution of Spatial Networks Families of Models of Spatial Networks Spatial Small-worlds Growing Spatial Networks Tessellations of the Plane Proximity Graphs Excluded Volume Graphs Loops and Branches Optimal Networks Optimal Transportation Networks and Network Design Greedy Models 330 $aThis book provides a complete introduction into spatial networks. It offers the mathematical tools needed to characterize these structures and how they evolve in time and presents the most important models of spatial networks. The book puts a special emphasis on analyzing complex systems which are organized under the form of networks where nodes and edges are embedded in space. In these networks, space is relevant, and topology alone does not contain all the information. Characterizing and understanding the structure and the evolution of spatial networks is thus crucial for many different fields, ranging from urbanism to epidemiology. This subject is therefore at the crossroad of many fields and is of potential interest to a broad audience comprising physicists, mathematicians, engineers, geographers or urbanists. In this book, the author has expanded his previous book ("Morphogenesis of Spatial Networks") to serve as a textbook and reference on this topic for a wide range of students and professional researchers. 606 $aSystem analysis 606 $aStatistical physics 606 $aStatistics 615 0$aSystem analysis. 615 0$aStatistical physics. 615 0$aStatistics. 676 $a003 700 $aBarthelemy$b Marc$f1965-$0517654 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 912 $a996466837303316 996 $aSpatial Networks$92784786 997 $aUNISA